Upscaling for a degenerate and coupled parabolic system arising from fluid and heat transport in heterogeneous media

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21110%2F18%3A00322284" target="_blank" >RIV/68407700:21110/18:00322284 - isvavai.cz</a>
Result on the web
<a href="https://aip.scitation.org/doi/10.1063/1.5043659" target="_blank" >https://aip.scitation.org/doi/10.1063/1.5043659</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1063/1.5043659" target="_blank" >10.1063/1.5043659</a>

Result language
angličtina
Original language name
Upscaling for a degenerate and coupled parabolic system arising from fluid and heat transport in heterogeneous media
Original language description
This contribution is devoted to the periodic homogenization of a system of nonlinear degenerate parabolic differential equations arising from the coupled fluid flow and heat transport through partially saturated porous media. We consider porous material exhibiting periodic spatial oscillations and present some a-priori estimates for the weak solutions (of the meso-scale problem) with respect to the scale parameter, which are sufficient for passing to the limit (as the oscillation period vanishes). Under the real assumptions on transport coefficients, we obtain the homogenized equations based on the two-scale convergence theory.
Czech name
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Czech description
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Project
<a href="/en/project/GA16-20008S" target="_blank" >GA16-20008S: Multiscale modeling of early age concrete</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2018
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Article name in the collection
Proceedings of International Conference on Numerical Analysis and Applied Mathematics 2017 (ICNAAM-2017)
ISBN
978-0-7354-1690-1
ISSN
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e-ISSN
0094-243X
Number of pages
5
Pages from-to
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Publisher name
AIP Conference Proceedings
Place of publication
New York
Event location
Thessaloniki
Event date
Sep 25, 2017
Type of event by nationality
WRD - Celosvětová akce
UT code for WoS article
000445105400013

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